Refer to Exercise 6.41. Let Y1, Y2,..., Yn be independent, normal random variables, each
Chapter 6, Problem 6.43(choose chapter or problem)
Refer to Exercise 6.41. Let Y1, Y2,..., Yn be independent, normal random variables, each with mean and variance 2. a Find the density function of Y = 1 n n i=1 Yi . b If 2 = 16 and n = 25, what is the probability that the sample mean, Y , takes on a value that is within one unit of the population mean, ? That is, find P(|Y | 1). c If 2 = 16, find P(|Y | 1) if n = 36, n = 64, and n = 81. Interpret the results of your calculations.
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